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Finding the Fourth Proportional to 27,900, 41,850 and 7,123.68

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Solution

The fourth proportional to 27,900, 41,850 and 7,123.68 is: 10,685.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,900 : 41,850 = 7,123.68 : x
  2. Step 2: Convert to fraction form
    27,900/41,850 = 7,123.68/x
  3. Step 3: Cross multiply
    27,900x = 41,850 × 7,123.68
  4. Step 4: Simplify right side
    27,900x = 298,126,008
  5. Step 5: Solve for x
    x = 298,126,008/27,900
  6. Step 6: Final answer
    x = 10,685.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.